Green-Ampt Infiltration Models for Varied Field Conditions: A Revisit

The Green-Ampt (GA) infiltration model is a simplified version of the physically based full hydrodynamic model, known as the Richards equation. The simplicity and accuracy of this model facilitates for its use in many field problems, such as, infiltration computation in rainfall-runoff modelling, effluent transport in groundwater modelling studies, irrigation management studies including drainage systems etc. The numerous infiltration models based on the Green-Ampt approach have been widely investigated for their applicability in various scenarios of homogeneous soils. However, recent advances in physically based distributed rainfall-runoff modeling demands for the use of improved infiltration models for layered soils with non-uniform initial moisture conditions under varying rainfall patterns to capture the actual infiltration process that exists in nature. The difficulty that modelers are facing now-a-days includes the estimation of time of ponding and the application of the infiltration model to unsteady rainfall events occurring in heterogeneous soil conditions. The investigation in this direction exhibits that only few infiltration models can handle these situations. Hence, it is of vital importance to analyze the usefulness of different variants of the Green-Ampt infiltration models in terms of their degree of accuracy, complexity and applicability limits. This paper provides a brief review of these infiltration models to bring out their usefulness in the rainfall-runoff and irrigation modeling studies as well as the drawbacks associated with these models.

[1]  Keith Beven,et al.  Robert E. Horton's perceptual model of infiltration processes , 2004 .

[2]  T. Cundy,et al.  Field‐scale evaluation of infiltration parameters from soil texture for hydrologic analysis , 1987 .

[3]  S. P. Neuman,et al.  Wetting front pressure head in the infiltration model of Green and Ampt , 1976 .

[4]  R. H. Brooks,et al.  Hydraulic properties of porous media , 1963 .

[5]  L. R. Ahuja,et al.  Infiltration and soil water movement , 1992 .

[6]  Murugesu Sivapalan,et al.  Spatial Heterogeneity and Scale in the Infiltration Response of Catchments , 1986 .

[7]  M. Martínez-Mena,et al.  The role of antecedent soil water content in the runoff response of semiarid catchments: a simulation approach , 2003 .

[8]  Rao S. Govindaraju,et al.  Spatial averaging of unsaturated flow equations under infiltration conditions over areally heterogeneous fields 2. Numerical simulations , 1994 .

[9]  Van Mullem.  Runoff and Peak Discharges Using Green-Ampt Infiltration Model , 1991 .

[10]  R. Leconte,et al.  Soil Moisture Profile Model for Two-Layered Soil Based on Sharp Wetting Front Approach , 2001 .

[11]  Laj R. Ahuja,et al.  Macroporosity to characterize spatial variability of hydraulic conductivity and effects of land management , 1984 .

[12]  L. Xiaodong,et al.  Water Infiltration in Layered Soils with Air Entrapment: Modified Green-Ampt Model and Experimental Validation , 2011 .

[13]  Gedeon Dagan,et al.  Unsaturated flow in spatially variable fields: 1. Derivation of models of infiltration and redistribution , 1983 .

[14]  A. W. Warrick,et al.  13 – Spatial Variability of Soil Physical Properties in the Field , 1980 .

[15]  R. H. Hawkins,et al.  STEADY‐STATE ANALYSIS OF INFILTRATION AND OVERLAND FLOW FOR SPATIALLY‐VARIED HILLSLOPES , 1987 .

[16]  Pierre Y. Julien,et al.  Similarity in Catchment Response: 1. Stationary Rainstorms , 1995 .

[17]  D. Goodrich,et al.  Model For Rainfall Excess Patterns on Randomly Heterogeneous Areas , 2000 .

[18]  Suzanne E. Allaire,et al.  Quantifying preferential flow in soils: A review of different techniques , 2009 .

[19]  W. Rawls,et al.  Field Evaluation of Layered Green-Ampt Model for Transient Crust Conditions , 1986 .

[20]  S. E. Serrano.  Explicit Solution to Green and Ampt Infiltration Equation , 2001 .

[21]  Ahmed Y. Hachum,et al.  A Physically-Based Model to Predict Runoff under Variable Rain Intensity , 1978 .

[22]  Daniel Hillel,et al.  Laboratory Tests of a Theory of Fingering during Infiltration into Layered Soils , 1990 .

[23]  Vijay P. Singh,et al.  Effect of Microtopography, Slope Length and Gradient, and Vegetative Cover on Overland Flow Through Simulation , 2004 .

[24]  Shu Tung Chu,et al.  Infiltration during an unsteady rain , 1978 .

[25]  D. A. Woolhiser,et al.  Effects of Spatial Variability of Saturated Hydraulic Conductivity on Hortonian Overland Flow , 1996 .

[26]  Curtis L. Larson,et al.  Modeling Infiltration and Redistribution of Soil Water During Intermittent Application , 1976 .

[27]  P. Kerkides,et al.  A Contribution to the Study of the Phenomenon of Horizontal Infiltration , 2011 .

[28]  Eric F. Wood,et al.  Scale Problems in Hydrology , 1986 .

[29]  E. Youngs,et al.  A COMPARISON OF PHYSICALLY-BASED INFILTRATION EQUATIONS , 1974 .

[30]  Infiltration Into Increasingly Permeable Soils , 1976 .

[31]  P. S. Eagleson,et al.  Effect of storm scale on surface runoff volume , 1988 .

[32]  D. Or,et al.  ERROR ANALYSES OF SIMPLIFIED UNSATURATED FLOW MODELS UNDER LARGE UNCERTAINTY IN HYDRAULIC PROPERTIES , 1992 .

[33]  D. R. Mailapalli,et al.  Application of a Nonstandard Explicit Integration to Solve Green and Ampt Infiltration Equation , 2009 .

[34]  K. Beven.  Infiltration into a class of vertically non-uniform soils , 1984 .

[35]  M. Mariño,et al.  Simulation of Infiltration and Surface Runoff - A Windows-Based Hydrologic Modeling System HYDROL-INF , 2006 .

[36]  Rain infiltration into layered soils: prediction. , 1980 .

[37]  F. D. Whisler,et al.  COMPARISON OF METHODS FOR CALCULATING VERTICAL DRAINAGE AND INFILTRATION FOR SOILS , 1970 .

[38]  P. Kerkides,et al.  Simulation of Soil Moisture Profiles Using K(h) from Coupling Experimental Retention Curves and One-Step Outflow Data , 2009 .

[39]  J. Parlange,et al.  Green and Ampt infiltration into soils of variable pore size with depth , 1999 .

[41]  Michael H. Young,et al.  Green‐Ampt infiltration model for sloping surfaces , 2006 .

[42]  I. D. Moore,et al.  Infiltration into two-layered soil profiles , 1981 .

[43]  Jiabao Zhang,et al.  Green–Ampt Model for Layered Soils with Nonuniform Initial Water Content Under Unsteady Infiltration , 2008 .

[44]  R. Sidle,et al.  Hillslope stability and land use , 1985 .

[45]  D. B. Simons,et al.  Solutions to Green-Ampt Infiltration Equation , 1976 .

[46]  R. R. van der Ploeg,et al.  A Numerical Study of the Effects of Noncapillary-Sized Pores Upon Infiltration 1 , 1979 .

[47]  D. Short,et al.  The practicability of using Richards' equation for general purpose soil-water dynamics models , 1995 .

[48]  Narendra Singh Raghuwanshi,et al.  Development of a physically based 1D-infiltration model for irrigated soils , 2006 .

[49]  Stefan Finsterle,et al.  Estimation of field‐scale soil hydraulic and dielectric parameters through joint inversion of GPR and hydrological data , 2005 .

[50]  H. Bouwer.  Infiltration of Water into Nonuniform Soil , 1969 .

[51]  Walter J. Rawls,et al.  Green‐ampt Infiltration Parameters from Soils Data , 1983 .

[52]  H. J. Morel-Seytoux,et al.  Unsaturated flow in hydrologic modeling. Theory and practice. , 1989 .

[53]  L. R. Ahuja,et al.  Modeling Infiltration into Crusted Soils by the Green—Ampt Approach 1 , 1983 .

[54]  Roger E. Smith,et al.  A Monte Carlo Analysis of the hydrologic effects of spatial variability of infiltration , 1979 .

[55]  H. J. Morel-Seytoux,et al.  Derivation of an equation of infiltration , 1974 .

[56]  Vaughan R Voller,et al.  On a fractional derivative form of the Green–Ampt infiltration model , 2011 .

[57]  D. Swartzendruber.  INFILTRATION OF CONSTANT‐FLUX RAINFALL INTO SOIL AS ANALYZED BY THE APPROACH OF GREEN AND AMPT , 1974 .

[58]  J. Philip,et al.  Theory of Infiltration , 1969 .

[59]  F. Fiedler,et al.  International Journal for Numerical Methods in Fluids a Numerical Method for Simulating Discontinuous Shallow Flow over an Infiltrating Surface , 2022 .

[60]  R. Govindaraju,et al.  Use of Green-Ampt model for analyzing one-dimensional convective transport in unsaturated soils , 1996 .

[61]  Ellen Rebecca Turner,et al.  Comparison of infiltration equations and their field validation by rainfall simulation , 2006 .

[62]  P. Germann,et al.  WATER FLOW IN SOIL MACROPORES II. A COMBINED FLOW MODEL , 1981 .

[63]  W. H. Gardner,et al.  Water Infiltration into Stratified Soil1 , 1962 .

[64]  J. Parlange,et al.  Comment on “Explicit expressions for Green-Ampt (delta function diffusivity) infiltration rate and cumulative storage” by G. D. Salvucci and D. Entekhabi , 1995 .

[65]  P. Enright,et al.  Prediction of surface runoff using the Green-Ampt infiltration model and estimated soils parameters. , 1990 .

[66]  I. Moore.  Effect of Surface Sealing on Infiltration , 1980 .

[67]  D. Mcintyre.  PERMEABILITY MEASUREMENTS OF SOIL CRUSTS FORMED BY RAINDROP IMPACT , 1958 .

[68]  G. Bodman,et al.  Moisture and Energy Conditions during Downward Entry of Water into Moist and Layered Soils , 1945 .

[69]  D. Smiles,et al.  Hydrodynamic Dispersion During Constant Rate Absorption of Water by Soil 1 , 1981 .

[70]  Pascal Boivin,et al.  Experimental and numerical study of water flow in soil under irrigation in northern Senegal: evidence of air entrapment , 2003 .

[71]  Y. Mualem,et al.  Infiltration during soil sealing: The effect of areal heterogeneity of soil hydraulic properties , 2002 .

[72]  Asymptotic infiltration into a soil which contains cracks or holes but whose surface is otherwise impermeable , 1987 .

[73]  Yangwen Jia,et al.  Modeling Infiltration into a Multi-layered Soil during an Unsteady Rain , 1997 .

[74]  D. R. Nielsen,et al.  Spatial variability of field-measured soil-water properties , 1973 .

[75]  E. C. Childs,et al.  The vertical movement water in stratified porous material: 1. Infiltration , 1969 .

[76]  Dawei Han,et al.  Automated Thiessen polygon generation , 2006 .

[77]  E. Soulis,et al.  Applicability of the Green-Ampt Infiltration Model with Shallow Boundary Conditions , 2011 .

[78]  B. Schmid.  Derivation of an explicit equation for infiltration on the basis of the Mein-Larson model , 1990 .

[79]  D. K. Cassel,et al.  EVALUATION OF SPATIAL DISTRIBUTION OF HYDRAULIC CONDUCTIVITY USING EFFECTIVE POROSITY DATA , 1989 .

[80]  D. Jaynes,et al.  Spatial variability of hydraulic conductivity in a cultivated field at different times , 1996 .

[81]  Y. Mohamoud.  Evaluating the Green and Ampt infiltration parameter values for tilled and crusted soils , 1991 .

[82]  W. Green,et al.  Studies on Soil Phyics. , 1911, The Journal of Agricultural Science.

[83]  R. W. Pearson,et al.  SOME CHARACTERISTICS OF SOIL CRUSTS FORMED BY SIMULATED RAINFALL , 1965 .

[84]  F. L. Duley.  Surface Factors Affecting the Rate of Intake of Water by Soils , 1940 .

[85]  Bruno Merz,et al.  An analysis of the effects of spatial variability of soil and soil moisture on runoff , 1997 .

[86]  J. Stone,et al.  Approximate Form of Green-Ampt Infiltration Equation , 1994 .

[87]  James R. Craig,et al.  Runoff–infiltration partitioning using an upscaled Green–Ampt solution , 2010 .

[88]  Olga N. Nasonova,et al.  The land surface parameterization scheme SWAP: description and partial validation , 1998 .

[89]  D. Goldman.  Loss Rate Representation in the HEC-1 Watershed Model , 1989 .

[90]  S. Tyler,et al.  Quantifying and delineating spatial variations of surface infiltration in a small watershed , 1996 .

[91]  Juan Enciso-Medina,et al.  Infiltration Model for Furrow Irrigation , 1998 .

[92]  W. J. Rawls,et al.  Agricultural Management Effects on Soil Water Processes Part I: Soil Water Retention and Green and Ampt Infiltration Parameters , 1983 .

[93]  S. Galle,et al.  Overland flow and infiltration modelling for small plots during unsteady rain: numerical results versus observed values , 2000 .

[94]  Donald C Slack,et al.  Experimental evaluation of two infiltration models. , 1980 .

[95]  Zhiyong Yang,et al.  Spatial averaging infiltration model for layered soil , 2009 .

[96]  A. Pitman,et al.  The BASE land surface model , 1998 .

[97]  Keith Beven,et al.  A physically based model of heterogeneous hillslopes: 1. Runoff production , 1989 .

[98]  Daniel Hillel,et al.  TRANSIENT INFILTRATION INTO CRUST‐TOPPED PROFILES , 1970 .

[99]  E. C. Childs.  Soil Moisture Theory , 1967 .

[100]  Ying Ma,et al.  Modeling water infiltration in a large layered soil column with a modified Green-Ampt model and HYDRUS-1D , 2010 .

[101]  D. L. Brakensiek,et al.  Agricultural Management Effects on Soil Water Processes Part II: Green and Ampt Parameters for Crusting Soils , 1983 .

[102]  Daniel Hillel,et al.  Applications of soil physics , 1980 .

[103]  Herman Bouwer,et al.  Rapid field measurement of air entry value and hydraulic conductivity of soil as significant parameters in flow system analysis , 1966 .

[104]  P. Milly.  Stability of the Green‐Ampt Profile in a Delta Function Soil , 1985 .

[105]  K. A. Albrecht,et al.  Infiltration and Hydraulic Conductivity of a Compacted Earthen Liner , 1989 .

[106]  Rao S. Govindaraju,et al.  Spatial averaging of unsaturated flow equations under infiltration conditions over areally heterogeneous fields: 1. Development of models , 1994 .

[107]  Y. Mualem,et al.  Runoff from heterogeneous small bare catchments during soil surface sealing , 2006 .

[108]  D. Swartzendruber.  A quasi-solution of Richards' Equation for the downward infiltration of water into soil , 1987 .

[109]  S. Takagi.  ANALYSIS OF THE VERTICAL DOWNWARD FLOW OF WATER THROUGH A TWO‐LAYERED SOIL , 1960 .

[110]  Rafael Muñoz-Carpena,et al.  An Improved Green–Ampt Infiltration and Redistribution Method for Uneven Multistorm Series , 2009 .

[111]  Shu‐Tung Chu,et al.  Green-Ampt analysis of wetting patterns for surface emitters , 1994 .

[112]  C. A. Onstad,et al.  Parameter estimation of the Green and Ampt Infiltration Equation , 1977 .

[113]  S. J. Kim,et al.  Field Evaluation of Layered Green-Ampt Infiltration Model Considering Temporal Variation of Physical Properties , 1994 .

[114]  L. M. Risse,et al.  Variability in Green-Ampt effective hydraulic conductivity under fallow conditions , 1995 .

[115]  J. Philip,et al.  The Theory of Infiltration , 1958 .

[116]  J. Philip,et al.  THE THEORY OF INFILTRATION: 4. SORPTIVITY AND ALGEBRAIC INFILTRATION EQUATIONS , 1957 .

[117]  G. N. Flerchinger,et al.  Explicit solution to Green-Ampt equation for nonuniform soils , 1988 .

[118]  J. R. Simanton,et al.  DEVELOPMENT OF A CRUST FACTOR FOR A GREEN AMPT MODEL , 1990 .

[119]  A. Kacimov,et al.  Green-ampt one-dimensional infiltration from a ponded surface into a heterogeneous soil , 2010 .

[120]  R. McCuen,et al.  Statistical analysis of the Brooks-Corey and the Green-Ampt parameters across soil textures , 1981 .

[121]  Shu‐Tung Chu.  Generalized Mein‐Larson Infiltration Model , 1987 .

[122]  Agus Setyo Muntohar,et al.  Rainfall infiltration: infinite slope model for landslides triggering by rainstorm , 2010 .

[123]  Joseph B. Franzini,et al.  Application of the Green‐Ampt Model to infiltration under time‐dependent surface water depths , 1980 .

[124]  Z. Sokol,et al.  The Use of Radar and Gauge Measurements to Estimate Areal Precipitation for Several Czech River Basins , 2003 .

[125]  Walter J. Rawls,et al.  Predicting runoff from Rangeland Catchments: A comparison of two models , 1990 .

[126]  L. Ahuja.  APPLICABILITY OF THE GREEN‐AMPT APPROACH TO WATER INFILTRATION THROUGH SURFACE CRUST , 1974 .

[127]  D. Russo,et al.  A univariate versus a multivariate parameter distribution in a stochastic‐conceptual analysis of unsaturated flow , 1982 .

[128]  D. R. Nielsen,et al.  Spatial Variability of Field‐measured Soil‐water Characteristics , 1985 .

[129]  D. L. Brakensiek,et al.  Estimating Soil Water Retention from Soil Properties , 1982 .

[130]  Asymptotic Behavior of Infiltration in Soils Containing Cracks or Holes , 1985 .

[131]  S. T. Chu.  Technical Notes: Effect of Initial Water Content on Green-Ampt Parameters , 1995 .

[132]  D. Zerihun,et al.  Infiltration under Variable Ponding Depths of Water , 2005 .

[133]  Curtis L. Larson,et al.  Modeling infiltration during a steady rain , 1973 .

[134]  Ian D. Moore,et al.  Infiltration Equations Modified for Surface Effects , 1981 .

[135]  D. Entekhabi,et al.  Explicit expressions for Green‐Ampt (delta function diffusivity) infiltration rate and cumulative storage , 1994 .

[136]  A Green‐Ampt Model of infiltration in a cracked soil , 1984 .

[137]  Miguel A. Mariño,et al.  Determination of ponding condition and infiltration into layered soils under unsteady rainfall , 2005 .

[138]  D. A. Barry,et al.  Green–Ampt approximations , 2005 .

[139]  N. Farajalla,et al.  Capturing the essential spatial variability in distributed hydrological modelling: Infiltration parameters , 1995 .